(X-3)(x+5)+7=0

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Solution for (X-3)(x+5)+7=0 equation:


Simplifying
(X + -3)(x + 5) + 7 = 0

Reorder the terms:
(-3 + X)(x + 5) + 7 = 0

Reorder the terms:
(-3 + X)(5 + x) + 7 = 0

Multiply (-3 + X) * (5 + x)
(-3(5 + x) + X(5 + x)) + 7 = 0
((5 * -3 + x * -3) + X(5 + x)) + 7 = 0
((-15 + -3x) + X(5 + x)) + 7 = 0
(-15 + -3x + (5 * X + x * X)) + 7 = 0
(-15 + -3x + (5X + xX)) + 7 = 0

Reorder the terms:
(-15 + 5X + -3x + xX) + 7 = 0
(-15 + 5X + -3x + xX) + 7 = 0

Reorder the terms:
-15 + 7 + 5X + -3x + xX = 0

Combine like terms: -15 + 7 = -8
-8 + 5X + -3x + xX = 0

Solving
-8 + 5X + -3x + xX = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 5X + -3x + 8 + xX = 0 + 8

Reorder the terms:
-8 + 8 + 5X + -3x + xX = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5X + -3x + xX = 0 + 8
5X + -3x + xX = 0 + 8

Combine like terms: 0 + 8 = 8
5X + -3x + xX = 8

Add '3x' to each side of the equation.
5X + -3x + 3x + xX = 8 + 3x

Combine like terms: -3x + 3x = 0
5X + 0 + xX = 8 + 3x
5X + xX = 8 + 3x

Reorder the terms:
-8 + 5X + -3x + xX = 8 + 3x + -8 + -3x

Reorder the terms:
-8 + 5X + -3x + xX = 8 + -8 + 3x + -3x

Combine like terms: 8 + -8 = 0
-8 + 5X + -3x + xX = 0 + 3x + -3x
-8 + 5X + -3x + xX = 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 5X + -3x + xX = 0

The solution to this equation could not be determined.

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